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math.CO2019
Structure of Trees with Respect to Nodal Vertex Sets
Asghar Bahmani, Dariush Kiani
Let be a tree with a given adjacency eigenvalue . In this paper, by using the -minimal trees, we determine the structure of trees with a given multiplicity of the eigenva…
math.AC2019
Induced matchings in strongly biconvex graphs and some algebraic applications
Sara Saeedi Madani, Dariush Kiani
In this paper, motivated by a question posed in \cite{AH}, we introduce strongly biconvex graphs as a subclass of weakly chordal and bipartite graphs. We give a linear time algorit…